Pith Number

pith:WFMWIHAP

pith:2026:WFMWIHAPMG25JCPAX3GTQLQBCB

not attested not anchored not stored refs pending

Can RL Teach Long-Horizon Reasoning to LLMs? Expressiveness Is Key

Abulhair Saparov, Guangchen Lan, Guanwen Qiu, Sipeng Zhang, Tianle Wang, Xinpeng Wei, Zhaoyang Wang

Reinforcement learning overcomes LLM long-horizon reasoning limits when training uses more expressive logic.

arxiv:2605.06638 v3 · 2026-05-07 · cs.AI · cs.CL

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFMWIHAPMG25JCPAX3GTQLQBCB}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

LLM shortcomings in long-horizon reasoning are not fundamental to the underlying architecture, and can be addressed by improved training methodology and data.

C2weakest assumption

That performance on the synthetic ScaleLogic tasks and their transfer to downstream benchmarks is a faithful proxy for the long-horizon reasoning difficulties encountered in real-world applications.

C3one line summary

RL training compute for logical reasoning follows a power law in proof depth whose exponent rises with logic expressiveness, and more expressive training yields larger gains on downstream benchmarks.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:14.548748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b159641c0f61b5d489e0becd382e0110545ada71a70564aa4c8e21446ba06469

Aliases

arxiv: 2605.06638 · arxiv_version: 2605.06638v3 · doi: 10.48550/arxiv.2605.06638 · pith_short_12: WFMWIHAPMG25 · pith_short_16: WFMWIHAPMG25JCPA · pith_short_8: WFMWIHAP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WFMWIHAPMG25JCPAX3GTQLQBCB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b159641c0f61b5d489e0becd382e0110545ada71a70564aa4c8e21446ba06469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfb6df287821caf8a26addbb8a2c859e647967bb784ed52a71031bd1bf95e5b",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-07T17:48:42Z",
    "title_canon_sha256": "cadbde38064688eda45f9f9931dbc3830cc800c0b2b88f2672c696b2c5e12ff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06638",
    "kind": "arxiv",
    "version": 3
  }
}